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Finding the Third Proportional to 1,216,632 and 2,647,317

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Solution

The third proportional to 1,216,632 and 2,647,317 is: 5,760,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,632 : 2,647,317 = 2,647,317 : x
  2. Step 2: Convert to fraction form
    1,216,632/2,647,317 = 2,647,317/x
  3. Step 3: Cross multiply
    1,216,632x = 2,647,317 × 2,647,317
  4. Step 4: Simplify right side
    1,216,632x = 7,008,287,298,489
  5. Step 5: Solve for x
    x = 7,008,287,298,489/1,216,632
  6. Step 6: Final answer
    x = 5,760,400.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.